Quasiclassical Green's function approach to mesoscopic superconductivity
Wolfgang Belzig, Frank K. Wilhelm, Christoph Bruder, Gerd Sch\"on, and, Andrei D.Zaikin (Institut f\"ur Theoretische Festk\"orperphysik,, Universit\"at Karlsruhe, Germany)

TL;DR
This paper reviews the application of quasiclassical Green's function methods to analyze mesoscopic superconductor-normal metal heterostructures, covering both diffusive and ballistic regimes in equilibrium and nonequilibrium conditions.
Contribution
It provides a unified framework for understanding mesoscopic superconductivity using quasiclassical techniques across different transport regimes and conditions.
Findings
Describes properties of mesoscopic heterostructures below the Thouless energy.
Unifies diffusive and ballistic systems analysis.
Addresses equilibrium and nonequilibrium states.
Abstract
Recent experiments on mesoscopic normal-metal--superconductor heterostructures resolve properties on length scales and at low temperatures such that the temperature is below the Thouless energy . We describe the properties of these systems within the framework of quasiclassical many-body techniques. Diffusive and ballistic systems are covered, both in equilibrium and nonequilibrium situations. Thereby we demonstrate the common physical basis of various subtopics.
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